The resistivity of a metal wire of length one metre is 10 raise to power 4 ohm at 20 degree celsius if the diameter of the wire is 0.15 mm find the resistivity of the metal at that temperature
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Answer:
The answer is 1.8369 X 10^ -6 Ωm.
Explanation:
The formula of the resistance is:
R = ρL/ A S. I unit of resistance is ohm.
Given data:
R = 104 ohm
L = 1m
Diameter, d = 0.15 mm
Convert mm to m ( icm = 10mm & 1m = 100 cm)
Divide 0.15 mm by 1000 = 1.5 x10^-4 m
Radius, r = d/2 = 1.5 x10^-4 m/2 = 7.5 x 10 ^-5
Formula of resistivity:
Area A = πr2
ρ = RA / L = R X πr2 / L
= 104 X 3.14 X (7.5 x 10 ^-5)2/ 1
= 1.8369 X 10^ -6 Ωm
Explanation:
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